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A003711
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E.g.f. cos(tanh(x)) (even powers only).
(Formerly M4665)
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2
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1, -1, 9, -177, 6097, -325249, 24807321, -2558036145, 342232522657, -57569080467073, 11879658510739497, -2948163649552594737, 865683568087537789297, -296699416391356495667713, 117330699580950022391960505
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| a(n)=sum(m=1..n, (sum(k=0..2*n-2*m, binomial(2*m+k-1,2*m-1)*(2*m+k)!*(-1)^(k)*2^(2*n-2*m-k)*stirling2(2*n,2*m+k)))/(2*m)!), n>0, a(0)=1. [From Vladimir Kruchinin, Jun 10 2011]
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PROG
| (Maxima)
a(n):=sum((sum(binomial(2*m+k-1, 2*m-1)*(2*m+k)!*(-1)^(k)*2^(2*n-2*m-k)*stirling2(2*n, 2*m+k), k, 0, 2*n-2*m))/(2*m)!, m, 1, n); [From Vladimir Kruchinin, Jun 10 2011]
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CROSSREFS
| Sequence in context: A141363 A157774 A193443 * A009009 A034221 A034240
Adjacent sequences: A003708 A003709 A003710 * A003712 A003713 A003714
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KEYWORD
| sign
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net), Simon Plouffe (simon.plouffe(AT)gmail.com)
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